Geometry Investigating Angles
Angles An angle consists of a vertex and two arms. This angle is named  XYZ or  ZYX  X Y Z vertex angle arm arm
Measuring Angles
Angles Angles are measured using a protractor. The unit of measurement is a degree. Vertex
Angles To measure an angle, place a protractor over the angle so that   X Y Z
Angles To measure an angle, place a protractor over the angle so that  The vertex of the angle is covered by the vertex of the protractor X Y Z
Angles To measure an angle, place a protractor over the angle so that  One of the arms of the angle aligns with the base (0°) of the protractor  X Y Z
Angles Begin at the 0° mark  Begin reading around the protractor until you reach the other arm of the angle.   X Y Z
Angles You can read the degree measure of the angle directly off the protractor.   X Y Z
Angles Since the initial zero degree measure was on the inside, then  XYZ = 50° .   X Y Z
Angles We can measure  this angle.   R T S
Angles We can measure  this angle.   R T S
Angles We can measure  this angle. We write… RST = 105°  R T S
Angles Estimate the measure of  LMN.   N M L
Angles Measure  LMN.   N M L 57 ° LMN = 57°.
Angles What is the measure of the angle shown? D E F 128 ° DEF = 128 °
Angles What is the measure of the angle shown? A C B 106 ° ACB = 106 °
Angles What are the measures of the  angles  shown? G J H 127 ° KJG = 127 ° HJG = 53 ° K 53 °
Practice with Measuring Angles Try this website… Random Angle Measurement

Investigating Angles 1